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Draw the logic gate diagram for 2-input AND gate using NOR gates only. Show the expression at each step.

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Question

Draw the logic gate diagram for 2-input AND gate using NOR gates only. Show the expression at each step.

Diagram
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Solution

  • First NOR gate (Input A): X = `bar(A + A) = barA`
  • Second NOR gate (Input B): Y = `bar(B + B) = barB`
  • Third NOR gate (Final Output Q): Q = `bar(X + Y) = bar(barA + barB)`
  • Simplified Result: Q = A⋅B
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